Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/87,563/5506
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 899,563
Greatest Common Factor of Numerators i.e. GCF of 899,563 is 1 .
LCM of Denominators means LCM of 87,5506 as per the given fractions.
LCM of 87,5506 is 479022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 899,563 . The biggest common factor number is the GCF number.
So the greatest common factor 899,563 is 1.
Lets's calculate LCM of 87,5506
Given numbers has no common factors except 1. So, there LCM is their product i.e 479022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479022
Therefore, the GCF of Fractions 899/87,563/5506 is 1/479022
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 87,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,5506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,5506) x common factors =1 x 1 = 1
LCM(87,5506) = ( 87 × 5506 ) / 1
LCM(87,5506) = 479022 / 1
LCM(87,5506) = 479022
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 899/87, 563/5506?
Answer: GCF of Numerators as per given numbers 899/87, 563/5506 is
GCF of Numerators i.e. for 899,563 is 1
LCM of denominators i.e. for 87,5506 is 479022.
Thus, GCF of Fractions is 1/479022.Finally, GCF of Fractions for 899/87, 563/5506 is 1/479022.